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Calculus

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Use the disk method to find the volume of the solid formed by rotating the region bounded by y=2x and y=x^2 about the y-axis

  • Calculus -

    The curves intersect at (0,0) and (2,2)

    v = ∫[0,2] π(R^2-r^2) dy
    where R = √y and r = y/2
    v = ∫[0,2] π(y-y^2/4) dy
    = π(y^2/2 - y^3/12) [0,2]
    = 4π/3

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